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Finding the Fourth Proportional to 76,494.96, 105,551.56 and 42,954.48

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Solution

The fourth proportional to 76,494.96, 105,551.56 and 42,954.48 is: 59,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.96 : 105,551.56 = 42,954.48 : x
  2. Step 2: Convert to fraction form
    76,494.96/105,551.56 = 42,954.48/x
  3. Step 3: Cross multiply
    76,494.96x = 105,551.56 × 42,954.48
  4. Step 4: Simplify right side
    76,494.96x = 4,533,912,372.99
  5. Step 5: Solve for x
    x = 4,533,912,372.99/76,494.96
  6. Step 6: Final answer
    x = 59,270.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.